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Overview
This text presents a consistent description of the geometric and quaternionic treatment of rotation operators. Covers the fundamentals of symmetries, matrices, and groups and presents a primer on rotations and rotation matrices. Also explores rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, more. Includes problems with solutions.Synopsis
This detailed monograph treats finite point groups as subgroups of the full rotation group, providing geometrical and topological methods which allow a unique definition of the quaternion parameters for all operations. An important feature is an elementary but comprehensive discussion of projective representations and their application to the spinor representations, which yield great advantages in precision and accuracy over the more classical double group method. A self-contained treatment, with many solved problems to clarify key points, this monograph provides a powerful tool for handling rotations and double groups.